690.41 is what percent of 899.9 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 899.9 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 899.9, so we can write it down as 100%=899.9.
4. We know, that x% equals 690.41 of the output value, so we can write it down as x%=690.41.
5. Now we have two simple equations:
1) 100%=899.9
2) x%=690.41
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=899.9/690.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 690.41 is what percent of 899.9

100%/x%=899.9/690.41
(100/x)*x=(899.9/690.41)*x       - we multiply both sides of the equation by x
100=1.3034283976188*x       - we divide both sides of the equation by (1.3034283976188) to get x
100/1.3034283976188=x
76.720746749639=x
x=76.720746749639

now we have:
690.41 is 76.720746749639% of 899.9